70017187968 has 768 divisors, whose sum is σ = 266341420800. Its totient is φ = 17808408576.

The previous prime is 70017187963. The next prime is 70017187969. The reversal of 70017187968 is 86978171007.

It is a super-2 number, since 2×70017187968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (70017187963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82083030 + ... + 82083882.

It is an arithmetic number, because the mean of its divisors is an integer number (346798725).

Almost surely, 2^70017187968 is an apocalyptic number.

70017187968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70017187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133170710400).

70017187968 is an abundant number, since it is smaller than the sum of its proper divisors (196324232832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70017187968 is a wasteful number, since it uses less digits than its factorization.

70017187968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The spelling of 70017187968 in words is "seventy billion, seventeen million, one hundred eighty-seven thousand, nine hundred sixty-eight".